LOCALIZATION AND SPECTRAL STATISTICS IN A BANDED RANDOM MATRIX ENSEMBLE

被引：55

作者：

WILKINSON, M

FEINGOLD, M

LEITNER, DM

机构：

[1] BROWN UNIV,DEPT CHEM,PROVIDENCE,RI 02912

[2] UNIV CALIF BERKELEY LAWRENCE BERKELEY LAB,BERKELEY,CA 94720

[3] UNIV CALIF BERKELEY LAWRENCE BERKELEY LAB,BERKELEY,CA 94720

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 01期

关键词：

D O I：

10.1088/0305-4470/24/1/025

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the localization properties of the eigenvectors of a banded random matrix ensemble, in which the diagonal matrix elements increase along the diagonal. We relate the results to a transition in the spectral statistics which is observed as a parameter is varied, and discuss the relevance of this model to the quantum mechanics of chaotic Hamiltonian systems.

引用

页码：175 / 182

页数：8

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